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Jordan Ellenberg Books

2 books·~20 min total read

Jordan Ellenberg is a professor of mathematics at the University of Wisconsin–Madison. His research focuses on number theory, and he is also known for his popular writing on mathematics and its applications in everyday life.

Known for: How Not To Be Wrong: The Power Of Mathematical Thinking, Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everything Else

Key Insights from Jordan Ellenberg

1

The Law of Large Numbers

One of the first things I emphasize is that our intuitive grip on chance is fragile. The law of large numbers tells us that random variation evens out as we take more samples—the average converges to the expected value. But human instinct rebels against this: we see patterns in small samples and dra...

From How Not To Be Wrong: The Power Of Mathematical Thinking

2

Linear Thinking and Nonlinear Reality

We love straight lines because they are simple. Draw two points, connect them, and we have a relationship. That’s our default mental model of cause and effect: if I work twice as hard, I’ll earn twice as much; if the car goes twice as fast, it must consume twice the fuel. But nature laughs at our li...

From How Not To Be Wrong: The Power Of Mathematical Thinking

3

The Geometry of Information

Information, at first glance, seems abstract—strings of digits, packets of data, words on a screen. Yet beneath all this abstraction is a deeply geometric structure. Information occupies a space—a multidimensional one—where relationships between bits of data have shape and distance. The way data clu...

From Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everything Else

4

Networks and Connections

In the modern era, there may be no more essential geometric concept than the network. Networks are everywhere—from friendships and collaborations to transportation grids and the underlying architecture of the internet. Their geometry determines how quickly ideas spread, how resilient systems are, an...

From Shape: The Hidden Geometry of Information, Biology, Strategy, Democracy, and Everything Else

About Jordan Ellenberg

Jordan Ellenberg is a professor of mathematics at the University of Wisconsin–Madison. His research focuses on number theory, and he is also known for his popular writing on mathematics and its applications in everyday life. Ellenberg has contributed to publications such as The New York Times, The W...

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Jordan Ellenberg is a professor of mathematics at the University of Wisconsin–Madison. His research focuses on number theory, and he is also known for his popular writing on mathematics and its applications in everyday life. Ellenberg has contributed to publications such as The New York Times, The Wall Street Journal, and Slate.

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Jordan Ellenberg is a professor of mathematics at the University of Wisconsin–Madison. His research focuses on number theory, and he is also known for his popular writing on mathematics and its applications in everyday life.

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